1. Draw a tree diagram for three fair coins tossed together once. a. Derive the sample space.
b. Find the probability of getting:
i. at least one head
ii. at most one tail
exactly three heads.
2. In two tosses of a fair die, what is the probability that:
a. The sum of the two numbers that show up is 7?
b. The sum of the two numbers that show up is even?
c. The sum of the two numbers that show up is greater than 9?
3. The probability that an egg will break when kept in the store is 5 out of every 200. How many broken eggs do you expect from a crate containing 600 eggs?